Ten-moment fluid modeling of the Weibel instability

Kuldinow, D. A.; Hara, K.

doi:10.1017/S0022377825000303

Ten-moment fluid modeling of the Weibel instability

Journal Article · Mon Apr 28 00:00:00 EDT 2025 · Journal of Plasma Physics

DOI:https://doi.org/10.1017/S0022377825000303· OSTI ID:2563510

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We investigate the one-dimensional non-relativistic Weibel instability through the capture of anisotropic pressure tensor dynamics using an implicit 10-moment fluid model that employs the electromagnetic Darwin approximation. The results obtained from the 10-moment model are compared with an implicit particle-in-cell simulation. The linear growth rates obtained from the numerical simulations are in good agreement with the theoretical fluid and kinetic dispersion relations. The fluid dispersion relations are derived using Maxwell’s equations and the Darwin approximation. We also show that the magnetohydrodynamic approximation can be used to model the Weibel instability if one accounts for an anisotropic pressure tensor and unsteady terms in the generalised Ohm’s law. In addition, we develop a preliminary theory for the saturation magnetic field strength of the Weibel instability, showing good agreement with the numerical results.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: NA0003960

OSTI ID:: 2563510

Journal Information:: Journal of Plasma Physics, Journal Name: Journal of Plasma Physics Journal Issue: 2 Vol. 91; ISSN 0022-3778

Publisher:: Cambridge University Press (CUP)Copyright Statement

Country of Publication:: United Kingdom

Language:: English

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